Answer
(-1, -1)
Work Step by Step
Plug x + 2y = -3 into $\frac{x}{6} - \frac{y}{2} = \frac{1}{3}$
-2y - 3 = x
$\frac{-2y - 3}{6} - \frac{y}{2} = \frac{1}{3}$
$\frac{-2y - 3}{6} - \frac{3y}{6} = \frac{2}{6}$
-2y - 3 - 3y = 2
-5y = 5
y = -1
Plug y into x + 2y = -3
x + 2$\times-1$ = -3
x - 2 = -3
x = -1